{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:MK26XOUZV3A2QQPAKOK3ATCZDB","merge_version":"pith-open-graph-merge-v1","event_count":2,"valid_event_count":2,"invalid_event_count":0,"equivocation_count":0,"current":{"canonical_record":{"metadata":{"abstract_canon_sha256":"dd2e23433fc7ba25ced698d4c17ad42c55e4350c455062f85187e0e830fb31f6","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.PS","submitted_at":"2016-04-13T20:43:51Z","title_canon_sha256":"22ae2e351e97cfb9359699489cf224e270972076e83a712bae24200af7564a27"},"schema_version":"1.0","source":{"id":"1604.03970","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1604.03970","created_at":"2026-05-18T00:54:36Z"},{"alias_kind":"arxiv_version","alias_value":"1604.03970v2","created_at":"2026-05-18T00:54:36Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1604.03970","created_at":"2026-05-18T00:54:36Z"},{"alias_kind":"pith_short_12","alias_value":"MK26XOUZV3A2","created_at":"2026-05-18T12:30:32Z"},{"alias_kind":"pith_short_16","alias_value":"MK26XOUZV3A2QQPA","created_at":"2026-05-18T12:30:32Z"},{"alias_kind":"pith_short_8","alias_value":"MK26XOUZ","created_at":"2026-05-18T12:30:32Z"}],"graph_snapshots":[{"event_id":"sha256:bb83334b0a2a509dbc21a571ef8a598174dfbada0ecdaa381eacc6cffe611ab8","target":"graph","created_at":"2026-05-18T00:54:36Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"graph_snapshot":{"author_claims":{"count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","strong_count":0},"builder_version":"pith-number-builder-2026-05-17-v1","claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"paper":{"abstract_excerpt":"We discuss the stability properties of the solutions of the general nonlinear Schroedinger equation (NLSE) in 1+1 dimensions in an external potential derivable from a parity-time (PT) symmetric superpotential $W(x)$ that we considered earlier [Kevrekedis et al Phys. Rev. E 92, 042901 (2015)]. In particular we consider the nonlinear partial differential equation $\\{ i \\partial_t + \\partial_x^2 - V^{-}(x) +| \\psi(x,t) |^{2\\kappa} \\} \\, \\psi(x,t) = 0$, for arbitrary nonlinearity parameter $\\kappa$. We study the bound state solutions when $V^{-}(x) = (1/4- b^2)$ sech$^2(x)$, which can be derived f","authors_text":"Andrew Comech, Avadh Saxena, Avinash Khare, Bogdan Mihaila, Fred Cooper, John F. Dawson","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.PS","submitted_at":"2016-04-13T20:43:51Z","title":"Stability of exact solutions of the nonlinear Schroedinger equation in an external potential having supersymmetry and parity-time symmetry"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1604.03970","kind":"arxiv","version":2},"verdict":{"created_at":null,"id":null,"model_set":{},"one_line_summary":"","pipeline_version":null,"pith_extraction_headline":"","strongest_claim":"","weakest_assumption":""}},"verdict_id":null}}],"author_attestations":[],"timestamp_anchors":[],"storage_attestations":[],"citation_signatures":[],"replication_records":[],"corrections":[],"mirror_hints":[],"record_created":{"event_id":"sha256:42689df55c36c32215de60295e015af415ff4287719c78cab7bef7c0638cc6a2","target":"record","created_at":"2026-05-18T00:54:36Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"attestation_state":"computed","canonical_record":{"metadata":{"abstract_canon_sha256":"dd2e23433fc7ba25ced698d4c17ad42c55e4350c455062f85187e0e830fb31f6","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.PS","submitted_at":"2016-04-13T20:43:51Z","title_canon_sha256":"22ae2e351e97cfb9359699489cf224e270972076e83a712bae24200af7564a27"},"schema_version":"1.0","source":{"id":"1604.03970","kind":"arxiv","version":2}},"canonical_sha256":"62b5ebba99aec1a841e05395b04c591877c7189073273f11753f644d0c70cb9c","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"62b5ebba99aec1a841e05395b04c591877c7189073273f11753f644d0c70cb9c","first_computed_at":"2026-05-18T00:54:36.930522Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:54:36.930522Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"aQZMsikPR7pd5YXa31z/EjWUv8Pkmzx9YOFGwT2Hfx54vTo2lllEHqwuxvCuaxc4FXBbZKsD/4IarKlMf6qcBA==","signature_status":"signed_v1","signed_at":"2026-05-18T00:54:36.931176Z","signed_message":"canonical_sha256_bytes"},"source_id":"1604.03970","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:42689df55c36c32215de60295e015af415ff4287719c78cab7bef7c0638cc6a2","sha256:bb83334b0a2a509dbc21a571ef8a598174dfbada0ecdaa381eacc6cffe611ab8"],"state_sha256":"6c5618bd28b531d4944abafe51fe7da5c35c20416e712fe63232bf80de481da7"}